Note on the existence of translation nets (Q1009030)

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scientific article; zbMATH DE number 5536745
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Note on the existence of translation nets
scientific article; zbMATH DE number 5536745

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    Note on the existence of translation nets (English)
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    31 March 2009
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    The author constructs translation nets of order \(q^2\) and degree \(q+1\) with nonabelian translation groups for \(q\) any power of \(2\), thus completing the series of examples with parameters \((q^2,q+1)\), \(q\) is a prime power. These nets also provide the first infinite class of translation nets which admit nonisomorphic translation groups.
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    translation net
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    nonisomorphic translation groups
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    generalized quadrangle
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